Answer:
20
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]\text{Distance}=\sqrt{(x_2=x_1)^2+(y_2-y1)^2}[/tex]
Substitute the actual values of the points into the distance formula.
[tex]\sqrt{((-7)-5)^2+((-7)-9)^2}[/tex]
Simplify.
⇒ Subtract 5 from 7.
[tex]\sqrt{(-12)^2+((-7)-9)^2}[/tex]
⇒ Raise -12 to the power of 2.
[tex]\sqrt{144+((-7)-9)^2}[/tex]
⇒ Subtract 9 from -7.
[tex]\sqrt{144+(-16)^2}[/tex]
⇒ Raise -16 to the power of 2.
[tex]\sqrt{144+256}[/tex]
⇒ Add 144 and 256.
[tex]\sqrt{400}[/tex]
⇒ Rewrite 400 as 20².
[tex]\sqrt{20^2}[/tex]
⇒ Pull terms out from under the radical, assuming positive real numbers.
20
